5

Set 3: Exponential Functions (Intermediate)

Explanation

Answer: C

PROBLEM

Simplify: 2 to the power of 4 times 2 to the power of 4. Express as 2 to the power of what?

Simplify: 2 to the power of 4 times 2 to the power of 4. Express as 2 to the power of what?

A.

10

B.

9

C.

8

✓ Correct
D.

4

Detailed Explanation

Choice C is the best answer. 2 to the power of 4 times 2 to the power of 4 = 2 to the power of (4+4) = 2 to the power of 8

Why others are wrong:
A: 10 is incorrect because it does not satisfy the equation.
B: 9 is incorrect because it does not satisfy the equation.
D: 4 is incorrect because it does not satisfy the equation.